852065568 has 240 divisors, whose sum is σ = 2705311224. Its totient is φ = 262103040.

The previous prime is 852065561. The next prime is 852065569. The reversal of 852065568 is 865560258.

852065568 is a `hidden beast` number, since 8 + 5 + 20 + 65 + 568 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 396328464 + 455737104 = 19908^2 + 21348^2 .

It is not an unprimeable number, because it can be changed into a prime (852065561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2687746 + ... + 2688062.

Almost surely, 2^852065568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852065568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352655612).

852065568 is an abundant number, since it is smaller than the sum of its proper divisors (1853245656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

852065568 is a wasteful number, since it uses less digits than its factorization.

852065568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 852065568 is about 29190.1621783778. The cubic root of 852065568 is about 948.0349290127.

It can be divided in two parts, 8520 and 65568, that added together give a cube (74088 = 42³).

The spelling of 852065568 in words is "eight hundred fifty-two million, sixty-five thousand, five hundred sixty-eight".